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Finding the Fourth Proportional to 517.66, 776.49 and 209.69

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Solution

The fourth proportional to 517.66, 776.49 and 209.69 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.66 : 776.49 = 209.69 : x
  2. Step 2: Convert to fraction form
    517.66/776.49 = 209.69/x
  3. Step 3: Cross multiply
    517.66x = 776.49 × 209.69
  4. Step 4: Simplify right side
    517.66x = 162,820.43
  5. Step 5: Solve for x
    x = 162,820.43/517.66
  6. Step 6: Final answer
    x = 314.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.